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Finding the Third Proportional to 84,550 and 199,953

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Solution

The third proportional to 84,550 and 199,953 is: 472,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,550 : 199,953 = 199,953 : x
  2. Step 2: Convert to fraction form
    84,550/199,953 = 199,953/x
  3. Step 3: Cross multiply
    84,550x = 199,953 × 199,953
  4. Step 4: Simplify right side
    84,550x = 39,981,202,209
  5. Step 5: Solve for x
    x = 39,981,202,209/84,550
  6. Step 6: Final answer
    x = 472,870.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.